In standard dynamics, heuristic models for spheroidal astronomical objects have also been in use for many years. Notable among them are the Lane-Emden spheres (described, e.g., in Refs. [1]}, [2]}), which are self-gravitating spheres made of matter with isotropic velocity distribution that satisfies a polytropic equation of state (EoS) – a relation between pressure, \(P\) , and density, \(\rho \) , of the form
\(P=\mathcal {K}\rho ^{\gamma }. \) 
